Trans boundary conflict is one of the chronic riparian problems not only in India but also in South Asia. This has constrained agricultural development in the basin. It has also enhanced economic insecurity in the region of upstream and down stream. The vulnerability of the people has also gone up. The purpose of the present paper is to highlight riparian conflicts in Kosi basin of Indo-Nepal region. Since many conflicts become chronic and reduces the growth and diversification of agriculture of the economy, therefore, the paper focuses on characteristics of the basin, intensity of conflict, conflict minimization process, areas of joint venture and concludes that in such circumstances of inter-country conflicts minimum common governance (MCG) may be a sustainable solution. The paper also proposes the modalities of MCG and its modus operandi. If such policy is executed then it may bring higher agricultural growth and other related changes. The livelihood losses of the people of concerned countries can be reduced forever which will ultimately lead to sustained eco-security, food security, employment and income guarantee.